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Finding the Fourth Proportional to 2,773.56, 3,823.02 and 2,618.04

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Solution

The fourth proportional to 2,773.56, 3,823.02 and 2,618.04 is: 3,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.56 : 3,823.02 = 2,618.04 : x
  2. Step 2: Convert to fraction form
    2,773.56/3,823.02 = 2,618.04/x
  3. Step 3: Cross multiply
    2,773.56x = 3,823.02 × 2,618.04
  4. Step 4: Simplify right side
    2,773.56x = 10,008,819.28
  5. Step 5: Solve for x
    x = 10,008,819.28/2,773.56
  6. Step 6: Final answer
    x = 3,608.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.